Son, 20, is one of the Bundesliga's most coveted strikers after scoring 12 goals for Hamburg this season, attracting the attention of Premier League sides Tottenham and Liverpool.
Champions League finalists Borussia Dortmund and Bayern Munich are thought to be the favourites to bring in the South Korean this summer, with the player's current contract set to expire at the end of next season.
However, Son has not ruled out saying at Hamburg, although his comments will not have stopped interest in his services.
"I think in two or three weeks, I will know more," Son told regional newspaper Hamburger Morgenpost. "Why should not I stay here?"
Former Spurs star Rafael van der Vaart has called on his team-mate to ignore interest from England and remain at the Imtech Arena.
But Hamburg finished outside the European places in the German top-flight this season and Son may be tempted to move on to a bigger club.